What is the limit as x approaches 2 of 3x^2-3x+11 ?

The limit as x approaches 2 of 3x^2-3x+11 is 17

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limit as x approaches 2 of 3x^2-3x+11

x \to 2 lim (3 x^{2} - 3 x + 11)

17

Solution steps

x \to 2 lim (3 x^{2} - 3 x + 11)

Plug in the value

x = 2

= 3 \cdot 2^{2} - 3 \cdot 2 + 11

Simplify

3 \cdot 2^{2} - 3 \cdot 2 + 11 : 17

= 17

x \to 0 - lim (\frac{2}{1 - 2 ^{\frac{1}{x}}})

x \to 2 lim (7 x^{2} + 3 x - 40)

x \to 1 lim (2^{- x} - 2^{x})

x \to 0 lim (x^{5} \cdot ln (x))

x \to 0 + lim (\frac{x}{ln ( 5 x + 1 )})

What is the limit as x approaches 2 of 3x^2-3x+11 ?
The limit as x approaches 2 of 3x^2-3x+11 is 17